Ready; Catalysis Nonlinear Effects - UT Southwestern

Ready; Catalysis Nonlinear Effects

Outline Definitions Origins of nonlinear effects in enantioselective reactions

ML2 model Reservoir model Transition-state model

Kinetic aspects of nonlinear effects Asymmetric amplification

Cool tricks Origin of biotic asymmetry?

Key reviews Kagan, ACIEE, 1998, 2922 (a pretty complete review, source of many of my figures) Kagan, Advanced Syn. Cat., 2001, 227 (an overview) Blackmond, Accts, 2000, 402 (kinetic aspects) Soai, Accts, 2000, 382 (asymmetric amplification)

Relationship between product ee and catalyst (or reagent) ee: Called positive nonlinear effect (+NLE) if ee product > ee catalyst Called negative nonlinear effect (-NLE) if ee product < ee catalyst

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In an enantioselective reaction, expect product ee to be linearly related to catalyst ee:

eeprod =eemax*eecat

eemax is maximal ee, i.e. when 100% ee cat is used

But sometimes linear relationship does not hold:

%ee 1

%ee DAIB

21% ee DAIB gives 96% ee product!

These effects can be quite large

Reasons to care: Practical consequences:

If low ee cat way cheaper than high ee (+NLE) If optically pure cat unavailable (+NLE) Danger of extrapolating from low ee cat (-NLE) Can have large impact on rates

Fundamental issues: Can support or refute a mechanism Provides more complete picture of reaction May relate to origin of biological asymmetry

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Ready; Catalysis Nonlinear Effects

g – reactivity β – stability K – related to β

K = 4 (statistical)

Biggest +NLE when g = 0 (inactive meso form) K affects +NLE more than –NLE

Can use curves to determine ‘effective ee’ e.g. if for K = 9, g = 0, nominally 50% ee catalyst performs like 87% ee catalyst

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Ready; Catalysis Nonlinear Effects

Example: Sharpless asymmetric epoxidation

Data fits to K = 1000 eemax = 95 g = kSR/kRR = 0.35

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Nonlinear effects in a stoichiometric reaction: Ketone reduction with DIP-Cl

Original reduction: Brown, JOC, 1985, 5446 NLE Data: Merck process, TL, 1997, 2641 NLE analysis: Blackmond, JACS, 1998, 13349

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Notes: mixtures of (+,+) and (-,-) DipCl do not show NLE 97% ee pinene: $500/100g; 87% ee pinene: $60/100g Product ee will decrease with conversion in stoichiometric reaction displaying +NLE

Ready; Catalysis Nonlinear Effects Model 2 The reservoir model: inactive dimers

Minor enantiomer sequestered as inactive dimer Monomer is active catalyst 95% ee product from 15% ee catalyst!!

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Structural basis for dimer stability

Noyori, JACS, 1998, 9800

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Reservoir model in glyoxylate ene reactions

Mikami, Tet. 1992, 5671

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Equilibrium between active monomer and inactive dimer. Minor enantiomer is sequestered.

Calculated structures for [(BINOL)2TiCl2]2

Structural basis for dimer stability with (BINOL)TiX2

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Pro

duct

ee

Catalyst ee

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Model 3 Transition-state dimers

Jacobsen, JACS, 1996, 10924

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(2S,3R)-product

(2R,3S)-product

(2S,3R)-product

(2R,3S)-product

M = Yb, +PAA, 40 oC

M = Yb, +AOD, 0 oC

M = Sc, -78 oC

Kobayashi,TL, 1994, 6325

Not all examples fit neatly into the models

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Ready; Catalysis Nonlinear Effects

Paying the piper: Kinetic repercussions of NLE’s

g = 0.01 (strong +NLE) g = 100 (strong -NLE)

Positive NLE will be associated with decrease in rate. Rate drop and +NLE both a result of less-active dimeric species – i.e. you

sacrifice one (R)-cat to sequester one (S)-cat (note: %ee = %optically pure; remainder racemic)

Negative NLE will be associated with increase in rate. -NLE comes from more-active dimers – i.e. (rac)-catalyst is faster than optically pure

Relationship between Rate and EE in ML2 Model

Blackmond, Accts, 2000, 402

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Asymmetric amplification and Autocatalysis

Autocatalytic reactions are one in which the product catalyzes its own formation.

A simple example: Ester hydrolysis yields an acid; ester hydrolysis is acid-catalyzed. Expect exponential increase in rate with time.

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If autocatalysis is coupled to a positive nonlinear effect, can see increasing rate and increasing ee

Might think this could be a mechanism for propagating optical activity. Small amount of high ee material leads to high ee catalyst catalyzes formation of more high ee catalyst… Not so.

Consider a reaction in which 100% ee catalyst gives 99.9% ee product and the reaction is autocatalytic

S.M. Catalyst (100% ee)

Product (99.9%) + catalyst (100%) = total (99.95%)

repeat

1 turnover

99.85% ee repeat repeat repeat racemic

Ready; Catalysis Nonlinear Effects

Ready; Catalysis Nonlinear Effects

Ready; Catalysis Nonlinear Effects

Ready; Catalysis Nonlinear Effects

Nature, 2006, 441, 621 See alsoHayashi, ACIEE, 2006, 4593